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Finding the Fourth Proportional to 278,007.58, 413,435 and 269,150.23

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Solution

The fourth proportional to 278,007.58, 413,435 and 269,150.23 is: 400,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,007.58 : 413,435 = 269,150.23 : x
  2. Step 2: Convert to fraction form
    278,007.58/413,435 = 269,150.23/x
  3. Step 3: Cross multiply
    278,007.58x = 413,435 × 269,150.23
  4. Step 4: Simplify right side
    278,007.58x = 111,276,125,340.05
  5. Step 5: Solve for x
    x = 111,276,125,340.05/278,007.58
  6. Step 6: Final answer
    x = 400,262.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.